Many times throughout the day can represent mathematical equations. In this problem, we focus on the largest consecutive run of equation times that include one of the four basic operations (+,-,*,/) or the power operator (^). Find the largest such consecutive run for a given range of input times (based on three-digit 12-hour times, 1:00 to 9:59). Return the first time stamp (string) and the number of consecutive points (integer, inclusive) for the maximum run (the first run if there is a tie).

For example, in the 2:07 to 2:29 time range, the answer is ['2:11' 3] since 2:10 has no equation, 2/1=1 (2:11), 2*1=2 (2:12), 2+1=3 (2:13) and 2:14 has no equation, and there are no such runs of four in that range.

This problem is related to Problem 2431 and Problem 2432.